Solving Equations and Inequalities

Which of the following is the solution to the equation: 2x - 14 = 6

• -4

• 10

• 12

• 20

Which of the following is the solution to the inequality -2x - 4 ≤ 11 ?

• 
• 
• 
• 

Where did Rajendra make an error in his calculation?

• Step 1

• Step 2

• Step 3

• Rajendra is correct.

There are 125 members in the school marching band. The band wants to raise at least $25,000 for a trip to a national competition. The school agreed to contribute $5,000 towards the trip. Which inequality shows the amount of money that each band member should raise?

• 125x + 25,000 ≥ 5,000

• 125x + 5,000 ≥ 25,000

• 5,000x + 125 ≥ 25,000

• 5,000x + 25,000 ≥ 125

Karis has $900 in the bank. Every time she rides the bus she spends $2. Write an inequality that Karis can use to see how many time she can ride the bus and still have more than $500 in the bank.

• 900 + 2x < 500

• 900 + 2x > 500

• 900 - 2x > 500

• 900 - 2x < 900

Shaan bought a video game console and some games for $350. The video game console cost $200. Each game cost $25. Write an equation that represents how many games Shaan purchased.

• 350 + 25x = 200

• 200 + 25x = 350

• 200 + 25x > 350

• 200x + 25 = 350

Ainsley bought some shirts for her clothing store $15 each. She received $50 off her entire purchase and spent a total oof $400. Which equation shows how many shirts Ainsley purchased for her store?

• 15x + 50 = 400

• 15 - 50x = 400

• 15x - 50 = 400

• 50 - 15x = 400

Connor earns $12 for each newspaper subscription he sells. Each week he saves $50 of his paycheck. If he wants to have at least $400 in spending money next week, which inequality shows how many newspaper subscription he needs to sell?

• 12 + 50x ≥ 400

• 12x + 50 ≥ 400

• 12x + 50 ≤ 400

• 12 + 50x ≤ 400

Alexa started a race with a 50-meter head start. She ran at a rate of 6.25 meters per second. Which equation shows how many seconds it took Alexa to reach 200 meters past the starting line?

• 50 - 6.25x = 200

• 50x + 6.25 = 200

• 50 + 6.25x = 200

• 50x - 6.25 = 200

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18